PIRSA:26010090

Quantum matter is weakly entangled at low energies

(2026). Quantum matter is weakly entangled at low energies. Perimeter Institute. https://pirsa.org/26010090

Quantum matter is weakly entangled at low energies. Perimeter Institute, Jan. 20, 2026, https://pirsa.org/26010090 

          @misc{ pirsa_PIRSA:26010090,
            doi = {},
            url = {https://pirsa.org/26010090},
            author = {},
            keywords = {Condensed Matter},
            language = {en},
            title = {Quantum matter is weakly entangled at low energies},
            publisher = {Perimeter Institute},
            year = {2026},
            month = {jan},
            note = {PIRSA:26010090 see, \url{https://pirsa.org}}
          }
Samuel Garratt
Talk numberPIRSA:26010090
Collection
Talk Type Other
Subject

Abstract

The study of entanglement in the ground states of locally interacting many-body quantum systems has provided connections between spectral properties and the computational resources required for tensor-network calculations. Generic quantum states have volume-law entanglement, but ground states are typically observed to satisfy an area law, with corrections in gapless systems. I will introduce a new framework that provides rigorous upper bounds on entanglement entropies of states with fixed energy. These results constrain (i) ground-state entanglement in both gapped and gapless systems in general spatial dimensions, (ii) the crossover from area-law to volume-law entanglement as the system energy is increased and (iii) the computational resources necessary for calculations of zero-temperature response functions.